Hmmm. Googling comes up only with your post, but the song sounds familiar to me. The only "Stand in the Rain" song I could think of was this one (click) but Superchick, and I don't for the life of me know why I'm familiar with it.

The song I'm thinking of was kind of a mellow one, sung by a group of guys (sounding like Chad & Jeremy or somebody like that), with "I'll never let you stand out in the rain" as the last line of the chorus....or could it be that my brain is addled and I'm really thinking of "I'll do my cryin' in the rain."

-Joe-